mpoppers@aecom.UUCP (06/19/84)
After B's first announcement, the possibilities are reduced to a table
which begins as follows:
SUM SUM OF SQUARES
======= ==============
8 50
9 65
10 50
11 65,85
13 85,125,145
14 130,170
15 125
16 130,200
17 145,185,205
.... ....
The only appearances of 50, 65, 85, 125, and 145 as a sum of squares
in this table are already displayed. A's first announcement rules out the sums
8, 9, 10, and 15. B's second announcement rules out the 65 from the row of sum
11 and the 125 from the row of sum 13. A's second announcement rules out the
sum 11. B's third announcement rules out the 85 from the row of sum 13. A's
third rules out the sum 13. B's fourth announcement shows one
possible answer to be that the sum is 17 and the sum of squares 145, giving
8 and 9 as the numbers.
PART II COMING SOON!!!
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